Answer:
A transformed function of f(x) is defined as,
g(x) = k f(x+a) + b,
Where k shows the stretch or compression ( When |k| > 1 or 0 < |k| < 1 ),
a shows the horizontal shifting, ( When a > 0 then it is shifted left when a < 0 then it is shifted right)
b shows the vertical shifting. ( b > 0 then it is shifted up b < 0 then it is shifted down)
Here, the parent function is,

And, transformed function is,

Thus, by the above explanation,
g(x) is obtained after shifting of f(x) horizontally left by 4 unit and after stretched by 2 unit.
Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.
Explanatio: This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
i hope this helps u